A college foundation raises funds by selling 600 raffle tickets for a new car worth \( \$ 46,000 \) at \( \$ 140 \) each. (a) Find the expected net winnings of a person buying one of the tickets. (b) Find the total profit for the foundation, assuming they had to purchase the car. (c) Find the total profit for the foundation, assuming the car was donated. (a) The expected net winnings are \( \$-63.33 \). (Round to the nearest hundredth as needed.) (b) Assuming they had to purchase the car, the total profit for the foundation is \( \$ \) (Simplify your answer.)

The formula for simple interest is \( I=P r t \), where \( P= \) principal, \( r= \) rate, and \( t= \) time. Solve the formula for \( r \). \( \begin{array}{l} r=\frac{t I}{P} \\ r=\frac{P t}{l} \\ r=\frac{P I}{t} \\ r=\frac{l}{P t}\end{array} \)

You deposit \( \$ 1000 \) each year into an account earning \( 3 \% \) interest compounded annually. How much will you have in the account in 25 years? \( \$ \)

posited \( \$ 3400 \) into a savings account \( 0.2 \% \). Find the amount in the savings

If \( x \) represents the number of items produced, (a) write a cost function, (b) find a revenue function if each item sells for the price given, (c) state the profit function, (d) determine analytically how many items must be produced before a profit is realized (assume whole numbers of items), and (e) support the results of part (d) graphically. The fixed cost is \( \$ 500 \), the cost to produce an item is \( \$ 20 \), and the selling price of the item is \( \$ 45 \). (a) The cost function is \( \mathrm{C}(\mathrm{x})=\square \). (Simplify your answer. Do not factor.) (b) The revenue function is \( \mathrm{R}(\mathrm{x})=\square \). (Simplify your answer. Do not factor.) (c) The profit function is \( \mathrm{P}(\mathrm{x})=\square \). (Simplify your answer. Do not factor.) (d) At least \( \square \) items must be produced before a profit is shown. (Type a whole number.) (e) Choose the correct graph to the right.

Who can save money to buy a house?